A History of the Theory of Elasticity and of the Strength of Materials: pts. 1-2. Saint-Venant to Lord KelvinUniversity Press, 1893 |
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absolute strength after-strain applied approximation axes beam body Bresse calculated cast-iron centimetre central axis centroid circular coefficients compression Comptes rendus constant cross-section curvature curve cylinder deduced deflection direction elastic elastic limit élastiques ellipsoidal entitled equal equations experiments extrados fibre flexural rigidity flexure footnote force formula girder given gives Hence Hooke's Law hypothesis investigation iron isotropy Kupffer Lamé laminae length limit load longitudinal M₁ magnetisation material maximum memoir metal method Navier obtained paper perpendicular Phillips plane plate pressure prism problem Rankine Rankine's rari-constant ratio rectangular referred remarks résistance rupture Saint-Venant Saint-Venant's shear solid solution spring steel strain strength of materials stress stretch stretch-modulus suppose surface tensile tensile strength terminal theoretical theory theory of elasticity torsion traction transverse velocity vibrations Wertheim Winkler
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Seite 623 - Woodcuts. 3 vols. crown 8vo. 10s. 6d. each. The Application of Cast and Wrought Iron to Building Purposes. By the same Author. Third Edition, with 6 Plates and 118 Woodcuts. 8vo. 16s. Iron Ship Building, its History and Progress, as comprised in a Series of...
Seite 479 - Thus even in the above delicate case," he says, " is the formula of Professor Thomson completely verified. The mathematical investigation of the thermo-elastic qualities of metals has enabled my illustrious friend to predict with certainty a whole class of highly interesting phenomena. To him especially do we owe the important advance which has been recently made to a new era in the history of science, when the famous philosophical system of Bacon will be to a great extent superseded, and when, instead...
Seite 593 - ... occurred in vertical planes, splitting up the specimen in all directions; cracks were noticed to form some time before the specimen finally gave way ; then these rapidly increased in number, splitting the glass into innumerable irregular prisms of the same height as the cube; finally, these bent or broke, and the pressure, no longer bedded on a firm surface, destroyed the specimen.
Seite 299 - That the medium which transmits light and radiant heat consists of the nuclei of the atoms, vibrating independently, or almost independently, of their atmospheres...
Seite 562 - Iron is rendered magnetical if scowered or filed, bent or twisted, when in the position of the magnetic axis, or near this position; the upper end 'becoming a south pole, and the lower end a north pole ; but the magnetism is destroyed by the same means, if the bar be held in the plane of the magnetic equator. 7. Iron heated to redness, and quenched in water, in a vertical position, becomes magnetic ; the upper end gaining south polarity, and the lower end north.
Seite 562 - ... into the iron a magnetism of contrary polarity to that of the attracting pole. 4. A bar of soft iron held in any position, except in the plane of the magnetic equator, may be rendered magnetical by a blow with a hammer, or other hard substance ; in such cases, the magnetism of position seems to be fixed in it so as to give it a permanent polarity. 5. An...
Seite 621 - On the above data, it will be found that the iron stay and copper plate (not riveted) have little more than one-half the strength of those where both are of iron ; that iron stays screwed and riveted into iron plates are to iron stays screwed and riveted into copper plates as 1000 : 856; and that copper stays screwed and riveted into copper plates of the £ame dimensions, have only about one-half the strength of those where both the stays and plates are of iron.
Seite 243 - FT) par d (t/r), de l'angle fait avec l'axe des abscisses par le premier élément de la courbe représentative du mouvement du point milieu. Ces courbes, pour des points proches des appuis, s'élèvent même au-dessus de l'axe u = 0 des abscisses, c'est-à-dire que, par une sorte de réaction ou de rebond qui suit de près un affaissement imperceptible, les u sont négatifs. (See pp. 557 and 889.) The last remark should be compared with that of Stokes' in another case of resilience : see our Art.
Seite 756 - ... pressure it would sustain without such an interposition. For example, one of the cubes, precisely similar to another which withstood a pressure of upwards of 60,000 pounds when placed in immediate contact with the steel plates, gave way at about 30,000 with lead interposed.
Seite 294 - Order. (The following note contains no original principle, and is designed merely to put on record, for the sake of convenient reference, a series of equations which will be found useful in future investigations.) It has been pointed out by Mr. Haughton, in his first paper, that if we take into consideration...